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11122200012 = 223711192332719
BaseRepresentation
bin10100101101110111…
…10100110111001100
31001201010101022010210
422112323310313030
5140234240400022
65035351202420
7542422066050
oct122673646714
931633338123
1011122200012
114798212540
1221a4976410
131083341a51
147771ddc60
1545167ba0c
hex296ef4dcc

11122200012 has 192 divisors, whose sum is σ = 34217164800. Its totient is φ = 2724088320.

The previous prime is 11122200007. The next prime is 11122200017. The reversal of 11122200012 is 21000222111.

It is an interprime number because it is at equal distance from previous prime (11122200007) and next prime (11122200017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11122200017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4089189 + ... + 4091907.

It is an arithmetic number, because the mean of its divisors is an integer number (178214400).

Almost surely, 211122200012 is an apocalyptic number.

11122200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

11122200012 is an abundant number, since it is smaller than the sum of its proper divisors (23094964788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122200012 is a wasteful number, since it uses less digits than its factorization.

11122200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11122200012 its reverse (21000222111), we get a palindrome (32122422123).

The spelling of 11122200012 in words is "eleven billion, one hundred twenty-two million, two hundred thousand, twelve".